# How do you simplify (6 - 2 * 3 ^ 2 + 24 )/ 6?

##### 1 Answer
Aug 25, 2016

$2$

#### Explanation:

In an expression with a combination of operations, we need to do the strongest operations first, and the weakest last.

Brackets are used if the normal order is changed.

Count the number of terms first and simplify each term to a single answer. The answers are added or subtracted in the last line.

The expression given is all one term, but there are 3 terms at the top. The red shoes which operation must be done each time

$\frac{6 - 2 \times \textcolor{red}{{3}^{2}} + 24}{6}$

=$\frac{6 - \textcolor{red}{2 \times 9} + 24}{6}$

=$\frac{6 - \textcolor{red}{18} + 24}{6}$

By the commutative law we can change the order of adding.
Placing all the additions at the front will lead to fewer errors.

=$\frac{6 + 24 - 18}{6}$

=$\frac{12}{6}$

=$2$